Two initial conditions are considered: either neuron \(i\)  is in the refractory state and neuron \(j\)  is in the armed state or vice versa.
Fig.REF  displays simulation results for both initial conditions, which reveals that the expected (average) weight change consists of two exponential branches as a function of \(\epsilon \) , in agreement with Theorem REF . This result is consistent with the STDP rule discussed in [1]}, and the two branches do not need to be symmetric as assumed in [2]}.
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